Least Common Multiple of 680 and 688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 680 and 688 the smallest integer that is 58480 that is divisible by both numbers.

Least Common Multiple (LCM) of 680 and 688 is 58480.

LCM(680,688) = 58480

LCM of 680 and 688

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 680 and 688

LCM of 680 and 688 is 58480

Least common multiple can be found by multiplying the highest exponent prime factors of 680 and 688. First we will calculate the prime factors of 680 and 688.

Prime Factorization of 680


2 680
2 340
2 170
5 85
17 17
1

Prime factors of 680 are 2, 5,17. Prime factorization of 680 in exponential form is:

680 = 23×51×171

Prime Factorization of 688


2 688
2 344
2 172
2 86
43 43
1

Prime factors of 688 are 2,43. Prime factorization of 688 in exponential form is:

688 = 24×431

Now multiplying the highest exponent prime factors to calculate the LCM of 680 and 688.

LCM(680,688) = 24×51×171×431
LCM(680,688) = 58480

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Least Common Multiple of 680 and 688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 680 and 688, than apply into the LCM equation.

GCF(680,688) = 8
LCM(680,688) = ( 680 × 688) / 8
LCM(680,688) = 467840 / 8
LCM(680,688) = 58480

Properties of LCM 680 and 688

(i) The LCM of 688 and 680 is associative

LCM of 680 and 688 = LCM of 688 and 680

Related Least Common Multiples of 680

Related Least Common Multiples of 688

Frequently Asked Questions on LCM of 680 and 688

1. What is the LCM of 680 and 688?

Answer: LCM of 680 and 688 is 58480.

2. What are the Factors of 680?

Answer: Factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680. There are 16 integers that are factors of 680. The greatest factor of 680 is 680.

3. What are the Factors of 688?

Answer: Factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688. There are 10 integers that are factors of 688. The greatest factor of 688 is 688.

4. How to Find the LCM of 680 and 688?

Answer:

Least Common Multiple of 680 and 688 = 58480

Step 1: Find the prime factorization of 680

680 = 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 688

688 = 2 x 2 x 2 x 2 x 43

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 58480 = 2 x 2 x 2 x 2 x 5 x 17 x 43

Step 4: Therefore, the least common multiple of 680 and 688 is 58480.